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Finding the Third Proportional to 629,917.59 and 969,531.19

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Solution

The third proportional to 629,917.59 and 969,531.19 is: 1,492,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,917.59 : 969,531.19 = 969,531.19 : x
  2. Step 2: Convert to fraction form
    629,917.59/969,531.19 = 969,531.19/x
  3. Step 3: Cross multiply
    629,917.59x = 969,531.19 × 969,531.19
  4. Step 4: Simplify right side
    629,917.59x = 939,990,723,535.16
  5. Step 5: Solve for x
    x = 939,990,723,535.16/629,917.59
  6. Step 6: Final answer
    x = 1,492,243.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.